Vol. 156, No. 2, 1992

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Four dodecahedral spaces

Peter Lorimer

Vol. 156 (1992), No. 2, 329–335
Abstract

Four dodecahedral spaces are constructed from the Coxeter groups [3,3,5] and [5,3,5]. Two of these are the Poincaré homology sphere and its hyperbolic analogue discovered by Weber and Seifert (1933). Two are spherical manifolds and two are hyperbolic.

Mathematical Subject Classification 2000
Primary: 57M50
Secondary: 52B70
Milestones
Received: 7 February 1991
Published: 1 December 1992
Authors
Peter Lorimer